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74542752 = 2532475507
BaseRepresentation
bin1000111000101…
…10111010100000
312012021011102200
410130112322200
5123040332002
611221413200
71563413544
oct434267240
9165234380
1074542752
1139094089
1220b6a200
131259c44b
149c85a24
156826b1c
hex4716ea0

74542752 has 72 divisors (see below), whose sum is σ = 216530496. Its totient is φ = 24314496.

The previous prime is 74542729. The next prime is 74542801. The reversal of 74542752 is 25724547.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10783 + ... + 16289.

It is an arithmetic number, because the mean of its divisors is an integer number (3007368).

Almost surely, 274542752 is an apocalyptic number.

74542752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74542752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108265248).

74542752 is an abundant number, since it is smaller than the sum of its proper divisors (141987744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74542752 is a wasteful number, since it uses less digits than its factorization.

74542752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 5559 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 74542752 is about 8633.8144524885. The cubic root of 74542752 is about 420.8575675312.

The spelling of 74542752 in words is "seventy-four million, five hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 5507 6768 11014 13536 16521 22028 33042 44056 49563 66084 88112 99126 132168 176224 198252 258829 264336 396504 517658 528672 776487 793008 1035316 1552974 1586016 2070632 2329461 3105948 4141264 4658922 6211896 8282528 9317844 12423792 18635688 24847584 37271376 74542752